At the 2013 La Roche-sur-Yon World Cup, Bulimar placed second on floor.
At the 6th Doha FIG World Challenge Cup in Qatar, Bulimar placed fifth on the uneven bars final on 28 March 2013. On 29 March, she placed fourth on the balance beam final and first on the floor exercise final ahead of compatriot Larisa Iordache with a score of 14.625.
At the 2013 European Championships in Moscow, Russia, Bulimar placed second in the all-around qualification, sixth on individual vault, twenty-sixth on the uneven bars qualification, second on balance beam qualification and fifth on floor exercise qualification on 18 April. On 19 April, she tied with Giulia Steingruber of Switzerland for fourth place in the all-around final with a score of 57.065.
